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. 2018;57(4):106.
doi: 10.1007/s00526-018-1386-y. Epub 2018 Jun 15.

Horizontal curves of hyperbolic metrics

Melanie Rupflin  1 , Peter M Topping  2
Affiliations

Horizontal curves of hyperbolic metrics

Melanie Rupflin et al. Calc Var Partial Differ Equ. 2018.

Abstract

We analyse the fine convergence properties of one parameter families of hyperbolic metrics that move always in a horizontal direction, i.e. orthogonal to the action of diffeomorphisms. Such families arise naturally in the study of general curves of metrics on surfaces, and in one of the gradients flows for the harmonic map energy.

Keywords: 30F10; 30F60; 53C44.

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References

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